Home
Class 12
MATHS
Find the integral of sqrt(x^(2)+a^(2)) w...

Find the integral of `sqrt(x^(2)+a^(2))` w.r.t. x and hence evaluate `int sqrt(x^(2) + 4x+6)`, dx.

Text Solution

Verified by Experts

The correct Answer is:
`I = x/2 sqrt(a^(2) - x^(2)) - (a^2)/2 sin^(-1)(x/a)+c`.
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    SUBHASH PUBLICATION|Exercise SIX MARKS QUESTIONS WITH ANSWERS|13 Videos

  • INTEGRALS

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|21 Videos

  • INTEGRALS

    SUBHASH PUBLICATION|Exercise TWO MARKS/THREE MARKS QUESTIONS WITH ANSWERS|60 Videos

  • DETERMINANT

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|10 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    SUBHASH PUBLICATION|Exercise TRY YOUR SELF|3 Videos

Similar Questions

Explore conceptually related problems

Find the integral of sqrt(x^(2) - a^(2)) w.r.t.x and hence evaluate int sqrt(x^(2) + 4x - 5)dx .

Find the integral of sqrt(x^(2)-a^(2)) w.r.t xand hence evaluate intsqrt(x^(2)-8x+7)dx

Find the integral of 1/(sqrt(x^(2) -a^(2))) w.r.t.x and hence evaluate int (dx)/(sqrt(x^(2) + 6x + 7)) .

Find the integral of 1/(sqrt(x^(2) + a^(2))) w.r.t.x and hence evaluate int (dx)/(sqrt(x^(2) + 7)) .

Find the integral of sqrt(a^(2) - x^(2)) w.r.t.x and hence evaluate int sqrt(3 - 2x -x^(2)) dx .

Find the integral of 1/(x^(2)+a^(2)) w.r.t x and hence evaluate int1/(x^(2)+2x+2)dx .

Find the integral of 1/(sqrt(x^2+a^2) w.r.t x and hence evaluate int1/(sqrt(x^2+2x+4))dx

Find the integral of sqrt( x^(2) + a^(2) ) with respect to x and hence evaluate int sqrt( x^(2) + 4x+ 6) dx

Find the integral of (1)/(x^(2) + a^(2)) w.r.t.x and hence evaluate int (1)/(x^(2) + 2x + 3) dx.

Find the integral of 1/(x^(2) - a^(2)) , w.r.t.x and hence evaluate int (dx)/(x^(2) + 3x - 10)